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Finding the Fourth Proportional to 17,111.96, 25,667.56 and 7,745.20

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Solution

The fourth proportional to 17,111.96, 25,667.56 and 7,745.20 is: 11,617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,111.96 : 25,667.56 = 7,745.20 : x
  2. Step 2: Convert to fraction form
    17,111.96/25,667.56 = 7,745.20/x
  3. Step 3: Cross multiply
    17,111.96x = 25,667.56 × 7,745.20
  4. Step 4: Simplify right side
    17,111.96x = 198,800,302.18
  5. Step 5: Solve for x
    x = 198,800,302.18/17,111.96
  6. Step 6: Final answer
    x = 11,617.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.